Condensate Fragmentation in a New Exactly Solvable Model for Confined Bosons

Abstract

Based on Richardson's exact solution of the pairing model and the Gaudin model for spin systems we derive a new class of exactly solvable models for finite boson system. As an example we solve a particular hamiltonian which displays a transition to a fragmented condensate for repulsive pairing interactions.

Revised version. To be published by Pysical Review Letters

References in corpus (3)

• Breakdown of time-dependent mean-field theory for a one-dimensional condensate of impenetrable bosons
• Many-body solitons in a one-dimensional condensate of hard core bosons
• Conformal Field Theory and the Exact Solution of the BCS Hamiltonian

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